Two cars A and B are moving with a speed of 15 m s - 1 and 5 m s - 1 and acceleration of the cars are 1 m s - 2 and 6 m s - 2 respectively. Then the minimum separation between them is

Step-by-step solution

v A B = 10   m   s - 1 ,   a A B = - 5   m   s - 2 s A B = 10 t - 5 2 t 2 Minimum displacement of A w.r.t. B s A B min is at t = 10 5 = 2 Minimum separation = 20 - 10 = 10   m